Meso-scale method of asymptotic analysis of elastic vibrations in periodic and non-periodic multi-structures

DOI10.1093/qjmam/hbac011zbMath1502.74047OpenAlexW4292995276MaRDI QIDQ5044916

Alexander B. Movchan, M. J. Nieves

Publication date: 3 November 2022

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/hbac011

zbMATH Keywords

Green functionlinear algebraic systemgeneralized Rayleigh beamheavy beammulti-scale asymmetric flexural systemnon-periodic massless resonator array

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Thin bodies, structures (74K99)

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Mesoscale asymptotic approximations in the dynamics of solids with defects

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